If f (1) = 4 and f (n) = f (n-1) + 5 then what is the value of f (5)

The value of f (5) is 24. Value of f (5) is obtained from the function f (n) = f (n-1) + 5 and f (1) = 4.

Step-by-step explanation:

The given function and value are,

f (n) = f (n-1) + 5,

f (1) = 4

To find f (5), we need to find the values of f (2), f (3), f (4) because in the function f (n-1) is available.

Step:1

Take, n=2,

From the given function,

f (2) = f (2-1) + 5

f (2) = f (1) + 5

f (2) = 4+5

f (2) = 9

Step:2

Take, n=3,

From the given function,

f (3) = f (3-1) + 5

f (3) = f (2) + 5

f (3) = 9+5

f (3) = 14

Step:3

Take, n=4,

From the given function,

f (4) = f (4-1) + 5

f (4) = f (3) + 5

f (4) = 14+5

f (4) = 19

Step:4

Take, n=5,

From the given function,

f (5) = f (5-1) + 5

f (5) = f (4) + 5

f (5) = 19+5

f (5) = 24

Result:

If f (1) = 4 and f (n) = f (n-1) + 5, the value of f (5) is 24.